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Gravitational Potential and Potential Energy for JEE: 24 solved questions

Real JEE paper questions on gravitational potential and potential energy, part of gravitation. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

Potential energy of a system — 9 questions
Relation between field and potential — 6 questions
Potential of a sphere and a shell — 5 questions
Self energy and binding energy — 4 questions

All 24 questions with solutions

If one wants to remove all the mass of the earth to infinity in order to break it up completely, the amount o… JEE Main 16th March 2nd Shift 2021
A body of mass m is taken from the surface of the Earth to a height equal to twice the radius of the Earth Rₑ… JEE Main 5th April 2nd Shift 2026 (also JEE Main 25th Jan 2nd Shift 2023)
Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle of side 20 m. Th… JEE Main 24th Jan 1st Shift 2026
An astronaut takes a ball of mass m from earth to space. He throws the ball into a circular orbit about earth… JEE Main 9th April 1st Shift 2024
The gravitational potential at a point above the surface of earth is -5.12×10⁷ J/kg and the acceleration due… JEE Main 30th Jan 1st Shift 2024
If V is the gravitational potential due to a sphere of uniform density on its surface, then its value at the… JEE Main 11th April 2nd Shift 2023
A body is released from a height equal to the radius R of the earth. The velocity of the body when it strikes… JEE Main 15th April 1st Shift 2023
The gravitational field in a region is given as -K/(r²). Taking the reference point to be at r=2 cm with grav… JEE Main 30th Jan 1st Shift 2023
An object of mass 1 kg is taken to a height from the surface of the earth which is equal to three times the r… JEE Main 29th July 2nd Shift 2022
Four spheres each of mass m form a square of side d, as shown in the figure. A fifth sphere of mass M is situ… JEE Main 27th June 2nd Shift 2022
Inside a uniform spherical shell (A) the gravitational field is zero. (B) the gravitational potential is zero… JEE Main 26th Aug 1st Shift 2021
A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the g… JEE Main 27th Aug 2nd Shift 2021
On the x-axis, at a distance x from the origin, the gravitational field due to a mass distribution is (Ax)/((… JEE Main 4th Sept 1st Shift 2020
Two planets have masses M and 16M and their radii are a and 2a respectively. The separation between the centr… JEE Main 6th Sept 2nd Shift 2020
From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed as shown in the figu… JEE Main 2015
Which of the following most closely depicts the correct variation of the gravitational potential V(r) due to… JEE Main Online 2015
Two hypothetical planets of masses m₁ and m₂ are at rest when they are at infinite distance apart. Because of… JEE Main Online 2014
The gravitational field in a region is given by E⃗=(5 N/kg)î+(12 N/kg)ĵ. If the potential at the origin is… JEE Main Online 2013
The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The va… AIEEE 2012
Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at the point on the lin… AIEEE 2011
A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the… AIEEE 2005
If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object… AIEEE 2004
The energy required to move a body of mass m from an orbit of radius 2R to an orbit of radius 3R is AIEEE 2002
A body of mass 2M splits into four masses m, M-m, m, M-m, which are rearranged to form a square as shown in t… JEE Main 27th Aug 1st Shift 2021

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